Answer:
B should equal 17 over 3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Joint variation is given by:

Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:

Solving for k:

Therefore, our equation is:

Then when x = 5 and z = 12:

The answer is A.
Answer:
The number is 45
Step-by-step explanation:
Let number = x
2/3 x = 30
x = 30/2/3
x = 30×3/2
x = 90/2 = 45
The number is 45
2/3 ×45= 90/3 = 30
Answer:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Step-by-step explanation:
Answer: x = 3, y = 1, z = 2
<u>Step-by-step explanation:</u>
EQ 1: x - y - z = 0
EQ 3:<u> -x + 2y + z = 1 </u>
y = 1
EQ 2: 2x - 3y + 2z = 7 → 1(2x - 3y + 2z = 7) → 2x - 3y + 2z = 7
EQ 3: -x + 2y + z = 1 → -2( -x + 2y + z = 1) → <u>-2x + 4y + 2z = 2</u>
y + 4z = 9
y = 1 ⇒ 1 + 4z = 9
4z = 8
z = 2
Input y = 1 and z = 2 into one of the equations to solve for x:
EQ 1: x - y - z = 0
x - (1) - (2) = 0
x - 3 = 0
x = 3
Check:
EQ 2: 2x - 3y + 2z = 7
2(3) - 3(1) + 2(2) = 7
6 - 3 + 4 = 7
3 + 4 = 7
7 = 7 